Piezometric Gradient given Flow Velocity of Stream Calculator

✖Velocity of Liquid is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.ⓘ Velocity of Liquid [v]			+10% -10%
✖Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.ⓘ Specific Weight of Liquid [γ_f]			+10% -10%
✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+10% -10%
✖Inclined Pipes Radius is the radius of the pipe through which the fluid is flowing.ⓘ Inclined Pipes Radius [R_inclined]			+10% -10%
✖Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.ⓘ Radial Distance [d_radial]			+10% -10%

✖Piezometric Gradient is defined as variation of piezometric head with respect to distance in along the pipe length.ⓘ Piezometric Gradient given Flow Velocity of Stream [dhbydx]

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Formula

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Piezometric Gradient given Flow Velocity of Stream

Formula

`"dhbydx" = "v"/((("γ"_{"f"})/(4*"μ"_{"viscosity"}))*("R"_{"inclined"}^2-"d"_{"radial"}^2))`

Example

`"0.001"="61.57m/s"/((("9.81kN/m³")/(4*"10.2P"))*(("10.5m")^2-("9.2m")^2))`

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Piezometric Gradient given Flow Velocity of Stream Solution

STEP 0: Pre-Calculation Summary

Formula Used

Piezometric Gradient = Velocity of Liquid/(((Specific Weight of Liquid)/(4*Dynamic Viscosity))*(Inclined Pipes Radius^2-Radial Distance^2))
dhbydx = v/(((γ_f)/(4*μ_viscosity))*(R_inclined^2-d_radial^2))
This formula uses 6 Variables

Variables Used

Piezometric Gradient - Piezometric Gradient is defined as variation of piezometric head with respect to distance in along the pipe length.
Velocity of Liquid - (Measured in Meter per Second) - Velocity of Liquid is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.
Specific Weight of Liquid - (Measured in Newton per Cubic Meter) - Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
Inclined Pipes Radius - (Measured in Meter) - Inclined Pipes Radius is the radius of the pipe through which the fluid is flowing.
Radial Distance - (Measured in Meter) - Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.

STEP 1: Convert Input(s) to Base Unit

Velocity of Liquid: 61.57 Meter per Second --> 61.57 Meter per Second No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Inclined Pipes Radius: 10.5 Meter --> 10.5 Meter No Conversion Required
Radial Distance: 9.2 Meter --> 9.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

dhbydx = v/(((γ_f)/(4*μ_viscosity))*(R_inclined^2-d_radial^2)) --> 61.57/(((9810)/(4*1.02))*(10.5^2-9.2^2))

Evaluating ... ...

dhbydx = 0.000999886559985288

STEP 3: Convert Result to Output's Unit

0.000999886559985288 --> No Conversion Required

FINAL ANSWER

0.000999886559985288 ≈ 0.001 <-- Piezometric Gradient

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Steady Laminar Flow in Circular Pipes – Hagen Poiseuille Law » Laminar Flow Through Inclined Pipes » Piezometric Gradient given Flow Velocity of Stream

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 15 Laminar Flow Through Inclined Pipes Calculators

Radius of Elemental Section of Pipe given Flow Velocity of Stream

Go Radial Distance = sqrt((Inclined Pipes Radius^2)+Velocity of Liquid/((Specific Weight of Liquid/(4*Dynamic Viscosity))*Piezometric Gradient))

Radius of Pipe for Flow Velocity of Stream

Go Inclined Pipes Radius = sqrt((Radial Distance^2)-((Velocity of Liquid*4*Dynamic Viscosity)/(Specific Weight of Liquid*Piezometric Gradient)))

Specific Weight of Liquid given Flow Velocity of Stream

Go Specific Weight of Liquid = Velocity of Liquid/((1/(4*Dynamic Viscosity))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2))

Piezometric Gradient given Flow Velocity of Stream

Go Piezometric Gradient = Velocity of Liquid/(((Specific Weight of Liquid)/(4*Dynamic Viscosity))*(Inclined Pipes Radius^2-Radial Distance^2))

Dynamic Viscosity given Flow Velocity of Stream

Go Dynamic Viscosity = (Specific Weight of Liquid/((4*Velocity of Liquid))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2))

Flow Velocity of Stream

Go Velocity of Liquid = (Specific Weight of Liquid/(4*Dynamic Viscosity))*Piezometric Gradient*(Inclined Pipes Radius^2-Radial Distance^2)

Piezometric Gradient given Velocity Gradient with Shear Stress

Go Piezometric Gradient = Velocity Gradient/((Specific Weight of Liquid/Dynamic Viscosity)*(0.5*Radial Distance))

Radius of Elemental Section of Pipe given Velocity Gradient with Shear Stress

Go Radial Distance = (2*Velocity Gradient*Dynamic Viscosity)/(Piezometric Gradient*Specific Weight of Liquid)

Specific Weight of Liquid given Velocity Gradient with Shear Stress

Go Specific Weight of Liquid = (2*Velocity Gradient*Dynamic Viscosity)/(Piezometric Gradient*Radial Distance)

Velocity Gradient given Piezometric Gradient with Shear Stress

Go Velocity Gradient = (Specific Weight of Liquid/Dynamic Viscosity)*Piezometric Gradient*0.5*Radial Distance

Dynamic Viscosity given Velocity Gradient with Shear Stress

Go Dynamic Viscosity = (Specific Weight of Liquid/Velocity Gradient)*Piezometric Gradient*0.5*Radial Distance

Radius of Elemental Section of Pipe given Shear Stress

Go Radial Distance = (2*Shear Stress)/(Specific Weight of Liquid*Piezometric Gradient)

Specific Weight of Fluid given Shear Stress

Go Specific Weight of Liquid = (2*Shear Stress)/(Radial Distance*Piezometric Gradient)

Piezometric Gradient given Shear Stress

Go Piezometric Gradient = (2*Shear Stress)/(Specific Weight of Liquid*Radial Distance)

Shear Stresses

Go Shear Stress = Specific Weight of Liquid*Piezometric Gradient*Radial Distance/2

Piezometric Gradient given Flow Velocity of Stream Formula

What is Piezometric Gradient ?

Hydraulic head or piezometric head is a specific measurement of liquid pressure above a vertical datum.The hydraulic head can be used to determine a hydraulic gradient between two or more points.

How to Calculate Piezometric Gradient given Flow Velocity of Stream?

Piezometric Gradient given Flow Velocity of Stream calculator uses Piezometric Gradient = Velocity of Liquid/(((Specific Weight of Liquid)/(4*Dynamic Viscosity))*(Inclined Pipes Radius^2-Radial Distance^2)) to calculate the Piezometric Gradient, The Piezometric Gradient given Flow Velocity of Stream is defined as change in pressure with respect to radial distance. Piezometric Gradient is denoted by dhbydx symbol.

How to calculate Piezometric Gradient given Flow Velocity of Stream using this online calculator? To use this online calculator for Piezometric Gradient given Flow Velocity of Stream, enter Velocity of Liquid (v), Specific Weight of Liquid (γ_f), Dynamic Viscosity (μ_viscosity), Inclined Pipes Radius (R_inclined) & Radial Distance (d_radial) and hit the calculate button. Here is how the Piezometric Gradient given Flow Velocity of Stream calculation can be explained with given input values -> 0.001 = 61.57/(((9810)/(4*1.02))*(10.5^2-9.2^2)).

FAQ

What is Piezometric Gradient given Flow Velocity of Stream?

The Piezometric Gradient given Flow Velocity of Stream is defined as change in pressure with respect to radial distance and is represented as dhbydx = v/(((γ_f)/(4*μ_viscosity))*(R_inclined^2-d_radial^2)) or Piezometric Gradient = Velocity of Liquid/(((Specific Weight of Liquid)/(4*Dynamic Viscosity))*(Inclined Pipes Radius^2-Radial Distance^2)). Velocity of Liquid is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time, Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid, The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, Inclined Pipes Radius is the radius of the pipe through which the fluid is flowing & Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.

How to calculate Piezometric Gradient given Flow Velocity of Stream?

The Piezometric Gradient given Flow Velocity of Stream is defined as change in pressure with respect to radial distance is calculated using Piezometric Gradient = Velocity of Liquid/(((Specific Weight of Liquid)/(4*Dynamic Viscosity))*(Inclined Pipes Radius^2-Radial Distance^2)). To calculate Piezometric Gradient given Flow Velocity of Stream, you need Velocity of Liquid (v), Specific Weight of Liquid (γ_f), Dynamic Viscosity (μ_viscosity), Inclined Pipes Radius (R_inclined) & Radial Distance (d_radial). With our tool, you need to enter the respective value for Velocity of Liquid, Specific Weight of Liquid, Dynamic Viscosity, Inclined Pipes Radius & Radial Distance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Piezometric Gradient?

In this formula, Piezometric Gradient uses Velocity of Liquid, Specific Weight of Liquid, Dynamic Viscosity, Inclined Pipes Radius & Radial Distance. We can use 2 other way(s) to calculate the same, which is/are as follows -

Piezometric Gradient = (2*Shear Stress)/(Specific Weight of Liquid*Radial Distance)
Piezometric Gradient = Velocity Gradient/((Specific Weight of Liquid/Dynamic Viscosity)*(0.5*Radial Distance))

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